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Using the results from Problem 9, is the result of 31,465 girls in 60,654 births a result that is significantly high? Why or why not

Using the results from Problem 9, is the result of 31,465 girls in 60,654 births a result that is significantly high? Why or why not

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 53E
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Using the results from Problem 9, is the result of 31,465 girls in 60,654 births a result that is significantly high? Why or why not?

9. The above table includes 257,264 Hispanic babies. For groups of 257,264 babies, find the mean and standard deviation for the number of girls, assuming that the probability of a girl is being born is the rounded result from Problem 6. Round to four decimal places. Mean = (131129+126135)/2 = 257264/2 = 128632 Standard Deviation sq rt(((131129 – 128632)^2 + (126135 – 128632)^2)/1) = sq rt((2497)^2+(2497)^2) = sq rt(2(2497)^2) = 2497(sq rt(2)) = 2497 * 1.414 = 3530.758 P(girl) = 126135/257264 = 0.49 or 49% Mean is 128,632. Standard Deviation is 3,530.758. The probability of getting a girl is 49%.
Transcribed Image Text:9. The above table includes 257,264 Hispanic babies. For groups of 257,264 babies, find the mean and standard deviation for the number of girls, assuming that the probability of a girl is being born is the rounded result from Problem 6. Round to four decimal places. Mean = (131129+126135)/2 = 257264/2 = 128632 Standard Deviation sq rt(((131129 – 128632)^2 + (126135 – 128632)^2)/1) = sq rt((2497)^2+(2497)^2) = sq rt(2(2497)^2) = 2497(sq rt(2)) = 2497 * 1.414 = 3530.758 P(girl) = 126135/257264 = 0.49 or 49% Mean is 128,632. Standard Deviation is 3,530.758. The probability of getting a girl is 49%.
Other African American Asian Hispanic White Boy 31,465 14,051 131,129 72,242 12,208 Girl 29,189 13,653 126,135 68, 428 11,473
Transcribed Image Text:Other African American Asian Hispanic White Boy 31,465 14,051 131,129 72,242 12,208 Girl 29,189 13,653 126,135 68, 428 11,473
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